8990138880 has 480 divisors, whose sum is σ = 33030885888. Its totient is φ = 2256076800.

The previous prime is 8990138879. The next prime is 8990138887. The reversal of 8990138880 is 888310998.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8990138887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29283687 + ... + 29283993.

Almost surely, 2^8990138880 is an apocalyptic number.

8990138880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8990138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515442944).

8990138880 is an abundant number, since it is smaller than the sum of its proper divisors (24040747008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8990138880 is a wasteful number, since it uses less digits than its factorization.

8990138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 8990138880 is about 94816.3428950938. The cubic root of 8990138880 is about 2079.3238433383.

The spelling of 8990138880 in words is "eight billion, nine hundred ninety million, one hundred thirty-eight thousand, eight hundred eighty".